Solving linear equations

Learning Objective:

• we are learning to solve linear equations with one unknown

Success Criteria:

• by the end of the lesson you should be able to solve linear equations with whole number and fractional coefficients:
  • Solve equations with brackets in
  • Solve equations with a variable on both sides
  • Sove equations with negative coefficients
  • Solve problems using equations

Investing:

• This is useful because...
• This is useful because many problems can be solved by using algebra and setting up an equation
• This skill leads to...
• A 'free gift' with this skill is that we can now also...
• This could help you if you want to work in...

Preparing:

• Are we ready? Can you already expand brackets?

• Before you start you need to know:
• You will have a deeper understanding if you also know:

Discovering:

• Can you figure it out yourself from these examples?
• Try to predict the next one aloud or on a mini-whiteboard.
• Investigate...

Modeling:

• Here are some examples of people getting it right:
• Here are some examples of people getting it wrong in typical ways:
• Here are some more examples. Did they get it right or wrong? Explain how you know!

Discussing:

• What would this one be? Tell your learning partner. Convince them you're right.
• Explain how you know.
• How would you explain this to someone who was new to it?

Explaining:

• One way to do this is...
• Another approach might be...
• A useful shortcut is to...
• This works because...
• It doesn't work when...
• An exception is...
• Watch out for...
• A common mistake is...
• You can check your result by...
• We can prove this works by...

Practicing:

• Some straightforward examples.
• Practice solving equations with brackets in:

• Some harder examples:
• Practice solving equations where the variable is on both sides:

• Practice solving equations where there is a negative coefficient:

• Some mixed examples.
• Some non-examples to spot and some mixed questions with redundant, insufficient or contradictory data.
• You can demonstrate fluency by at least...

Sharing:

• A web page or wiki I have created to explain this can be found at...
• A presentation I have created and rehearsed looks like...
  

  Y8_ Equation.ppt
  

  • Details
  • Download
  • 1 MB
• A poster I have drawn or model I have made can be found...

Assessing:

• 

  TenQQ.exe
  

  • Details
  • Download
  • 1 MB
• Check you've mastered this skill by completing questions on the different types of equations.
• Use your assessment from above to decide which type of equations you want to practice further.
• See if you can solve this problem by setting up an equation:
  • I think of a number. I multiply it by three and add ten.
  • I get the same answer as when I multiply my number by five and add four.
  • What is the number I am thinking of?
• Now try to solve this problem:
  • In a farmyard there are pigs and chickens.
  • The farmer can see a total of fifteen animals and counts that there are forty-eight legs.
  • How many pigs are there in the farmyard?
  • How many chickens are there?
    
    
• Can you make up a problem of your own for someone to solve?
• Show you understand by explaining...
• Prove you're an expert in... by...

Developing:

• Next we could learn...
• This leads to...
• Now try...